simultaneously with the gauge transformation (REF ) and () with \(\Lambda (x)\)  depending on \(\lambda (x)\)  through the canonical homomorphism [1]}. We remind the reader that in the covariant parametrization with skew-symmetric real valued parameters, \(\hat{\omega }_{\hat{\alpha }\hat{\beta }}=-\hat{\omega }_{\hat{\beta }\hat{\alpha }}\) , the \(SL(2,{C})\)  transformations
\(\lambda (\hat{\omega })=\exp \left(-\frac{i}{2}\,\hat{\omega }_{\hat{\alpha }\hat{\beta }}s^{\hat{\alpha }\hat{\beta }}\right)\in \rho _D[SL(2,{C})]\,.\) 
